[seqfan] Re: A048200 variant: invert [1, 2, ..., n] allowing one swap and two shift-rotate operations

Joerg Arndt arndt at jjj.de
Sun Jun 6 10:45:59 CEST 2010


* Ron Hardin <rhhardin at att.net> [Jun 06. 2010 10:14]:
> On the original problem, I get
> 2 1 l
> 3 2 lx
> 4 4 xrrx
> 5 8 xllxlxrx
> 6 13 xlxrxrrrxlxrx
> 7 19 xlxrxrrxrxrxlxlxrxr
> 8 26 xlxrxrxlxlxllxlxlxrrxlxrxr
> 9 34 lxlxlxrxrxlxllxrxrxrxrrxrxrxlxlxrx
> 10 43 xlxrxrxlxlxlxrxrxrxrrrxrxrxlxlxlxrxrxlxrrxr
> 11 53 llxlxlxlxrxrxrxrxllxlxrxrxlxlxlxllxlxlxlxrxrxrxlxlxrx
> 
> which I guess should be compared to A34856 and except for 4 equals A54254
> 
>  rhhardin at mindspring.com
> rhhardin at att.net (either)
> 
> 
> 

regarding A034856: the comment
" Number of 1's in the n X n lower Hessenberg (0,1)-matrix
  (i.e. the matrix having 1's on or below the superdiagonal
  and 0's above the superdiagonal). "
should be deleted (an upper Hessenberg matrix does not
in general have only nonzero elements above the diagonal).



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